Net Income per Share (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	3 Months Ended								12 Months Ended
	Sep. 28, 2019	Jun. 29, 2019	Mar. 30, 2019	Dec. 29, 2018	Sep. 29, 2018	Jun. 30, 2018	Mar. 31, 2018	Dec. 30, 2017	Sep. 28, 2019	Sep. 29, 2018	Sep. 30, 2017
Net Income per Share [Abstract]
Antidilutive shares excluded from computation of earnings per share (in shares)									5.0	0.0	0.0
Numerator [Abstract]
Net income attributable to the Company	$ 229	$ 13	$ 74	$ 88	$ 133	$ 110	$ 90	$ 163	$ 404	$ 496	$ 340
Denominator [Abstract]
Weighted average common shares outstanding - basic (in shares)									131.3	131.4	127.6
Dilutive shares (in shares)									3.3	3.8	5.0
Weighted average common and common equivalent shares outstanding - diluted (in shares)									134.6	135.2	132.6
Per Common Share Income [Abstract]
Basic (in dollars per share)	$ 1.74	$ 0.10	$ 0.57	$ 0.67	$ 1.01	$ 0.83	$ 0.69	$ 1.24	$ 3.08	$ 3.77	$ 2.66
Diluted (in dollars per share)	$ 1.69	$ 0.10	$ 0.55	$ 0.66	$ 0.99	$ 0.81	$ 0.66	$ 1.20	$ 3.00	$ 3.67	$ 2.56